Mathematics Middle School

According to the general equation for conditional probability, if P(A^B)=3/4 and P(B)=4/5, what is P(A B)?

Answers

Answer 1

I found that P(A B) equals 0.96

Answer 2

Answer:

0.96

Explanation:

A rule of conditional probability states that

P(A∣B)=P(A∩B)P(B)

So in this case it would be:

P(A∣B)=4556=4⋅65⋅5=2425=0.96

Related Questions

Subtract -6 4 -6 0 6 4 - -5 5 -4 -1 6 -4

Answers

Do you mean, -6 - 4 - -6 - 0 - 6 - 4 - -5 - 5 - -4 - -1 - 6 - -4?

If so, here's my working out:
-6 - 4 = -10
-10 - -6 = -4
-4 - 0 = -4
-4 - 6 = -10
-10 - 4 = -14
-14 - -5 = -9
-9 - 5 = -14
-14 - -4 = -10
-10 - -1 = -9
-9 - 6 = -15
-15 - -4 = -11

The answer is -11.
Hope this helps!

Answer:

The result of the subtraction is [tex]$57$.[/tex]

Explanation:

To subtract the numbers given, we need to add all the positive numbers and then subtract the sum of the negative numbers.

Positive numbers: [tex]$6 + 4 + 6 + 4 + 5 + 5 + 6 = 36$[/tex]

Negative numbers: [tex]$-6 - 6 - 4 - 1 - 4 = -21$[/tex]

Subtracting the sum of the negative numbers from the sum of the positive numbers:

[tex]$36 - (-21) = 36 + 21 = 57$[/tex]

So, the result of the subtraction is [tex]$57$.[/tex]

A lawyer charges his clients a consultation fee of $500 and $100 per hour to work on a case. This is represented by the linear function C = 100x + 500. If the lawyer increases his hourly rate to $150, how much more will he make on a 10-hour case? A) $250 B) $500 C) $750 D) $1000

Answers

The difference between his old hourly rate and his updated hourly rate is $50

10 hours with $50 more dollars per hour

10*50=500

The lawyer is making $500 more dollars for 10 hours

B is your answer. 100x10 is 1000 +500 =1500 and 150x10 is 1500+500 = 2000.

In a video game, Val scored 30% fewer points than Peeta. Peeta scored 1060 points. How many points did Val score?

Answers

1060 x .30= 318
1060-318=742
Val scored 742 points

Val (huh, I didn't know that was an actual name) scored around 742 points, 30% fewer than Peeta. Since, 30% of 1060 can be found by multiplying 30% as a decimal (0.30), which means that 30% of 1060 is 318. However, it doesn't say that Val scored 30% of the points Peeta scored. No, it says that Val scored 30% LESS than the score Peeta scored. So, we're subtracting.

1060 - 318 = 742

So, Val scored 742 points.

what is the square root of negative 2 times the square root of negative 18. Please show work.

Answers

[tex] \sqrt[-2*-18] [\tex]
-ve number*-ve number =+ve number
by the same way -2*-18 = 36
so the [tex]\sqrt[-2*-18]=\sqrt[36][\tex]
which is 6

please quick problem :)

One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees. What was the temperature at 9 p.m.?

please T-T

Answers

Well find the unit rate first 8 pm to 12 o'clock is 4 hours so -16.8/4=-4.2 degrees per hour since 8. So 1 hour later it would be 0-4.2=-4.2 degrees.

To reduce 32 grams of a 25% antiseptic solution to a 10% solution, how much distilled water should a pharmacist add?

Answers

Hello,

8 grams is 10% of (8g)/0.10=80 grams
80 grams-32 grams=48 grams
ANSWER: You should add 48 grams of water to 32 grams of 25% solution to make a 10% solution.

Answer:

48 grams

Step-by-step explanation:

= 32 + 25 because 32 grams and 25 %

= 57 - 10 because there's 10%

= 47 + 1 because 10 ÷ 10 = 1

= 48

My teacher taught me it this way!☺

Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number. Explain why the result of your operations is an irrational number?

Answers

(5•8) _
-------=1.66
24

It's an irrational number because the decimal continues on forever

the decimal goes on and on so it would be an irrational number

What is the value of p in the equation p−18=38 ?

Answers

to get p add 18 on both side then you will get 56 as p which is the answer

The answer to your question is p=56 hope this helps:)

A hole was dug 2 3/8 feet deep for a fence post. The fence post is 6 feet long. How far above the ground will the fence post be when it is placed in the hole? Enter your answer as a mixed number, in simplified form, in the box.

PLEASE ANSWER ASAP

Answers

[tex]\text{Answer: The fence post will be }3\frac{5}{8}\ feet\text{ far above the ground when it is placed in the hole.}[/tex]

Explanation:

Since we have given that

Length of hole dug for a fence post is given by

[tex]2\frac{3}{8}\ feet=\frac{19}{8}\ feet[/tex]

Length of the fence post = 6 feet

we need to find the length of the fence post above the ground is seen when it is placed in the hole.

So, Length of the fence post above the ground is given by

[tex]6-\frac{19}{8}\\\\=\frac{48-19}{8}\\\\=\frac{29}{8}\\\\=3\frac{5}{8}\ feet[/tex]

[tex]\text{Hence, the fence post will be }3\frac{5}{8}\ feet\text{ far above the ground when it is placed in the hole.}[/tex]

In skate boarding an ollie is a move in which the athlete pops the skateboard in the air, making it appear that the board and skateboarder are attached.At the 2009 X Games, one skateboarder completed 34 allies in 30 seconds. if he could keep up that rate, what would be his rate of allies per minute? What would be his rate per hour

Answers

Final answer:

The skateboarder's rate of ollies per minute would be 68 ollies per minute. The skateboarder's rate of ollies per hour would be 4080 ollies per hour.

Explanation:

To find the rate of ollies per minute, we need to divide the number of ollies completed in 30 seconds by the number of seconds in a minute. In this case, the skateboarder completed 34 ollies in 30 seconds, so the rate of ollies per minute would be:

Rate per minute = (34 ollies / 30 seconds) × (60 seconds / 1 minute) = 68 ollies per minute

To find the rate of ollies per hour, we need to divide the number of ollies completed in 30 seconds by the number of seconds in an hour. In this case, the skateboarder completed 34 ollies in 30 seconds, so the rate of ollies per hour would be:

Rate per hour = (34 ollies / 30 seconds) × (3600 seconds / 1 hour) = 4080 ollies per hour

PLEASE HELPPPP

Find the measure of angle KLM.

This is an EXPLAIN YOUR THOUGHTS question which means you need to:

1) include the properties, theorems, etc. that you used to set up an equation.

2) Show the euqation you used to solve for x and thus solve for the angle measure of KLM

Answers

Answer: 64 degrees

-------------------------------------
-------------------------------------

We'll use these properties:

Property 1: Linear pairs of angles are adjacent (touching) and supplementary. They form a straight angle. By definition they are supplementary meaning they add to 180 degrees.

Property 2: For any triangle, the three angles always add to 180 degrees

-------------------------------------

We need the measure of angle KLJ in terms of x.

Notice how KLJ and KLM form the straight angle JLM (which is 180 degrees). So we'll use property 1 mentioned above. Let's isolate angle KLJ to get...

(angle KLM) + (angle KLJ) = 180
(20x+4) + (angle KLJ) = 180 ... use the substitution property to replace angle KLM with its algebraic expression
angle KLJ = 180 - (20x+4)
angle KLJ = 180 - 20x-4
angle KLJ = -20x + 176

-------------------------------------

Now that we know angle KLJ, we can use this angle along with the angles JKL and KJL. Basically we're focusing on the smaller triangle on the left (the obtuse triangle)

Add those three angles up and set the result equal to 180 degrees. I'm using property 2 now.

(angle KLJ) + (angle KJL) + (angle JKL) = 180
(-20x+176) + (6x+4) + (8x+18) = 180

Therefore the equation we need to solve is: (-20x+176) + (6x+4) + (8x+18) = 180

Let's do so...
(-20x+176) + (6x+4) + (8x+18) = 180
-20x+176 + 6x+4 + 8x+18 = 180
(-20x+6x+8x)+(176+4+18) = 180
-6x+198 = 180
-6x+198-198 = 180-198
-6x = -18
-6x/(-6) = -18/(-6)
x = 3

After solving for x, we get x = 3
Let's use this to find the measure of angle KLM

angle KLM = 20*x+4
angle KLM = 20*3+4
angle KLM = 60+4
angle KLM = 64

The measure of angle KLM is 64⁰

What are supplementary angles?

Supplementary angles are two angles whose measures add up to 180⁰ In other words, when placed adjacent to each other, they form a straight line.

From the figure

Given

<J = (6x+4)⁰

<K = (8x + 18)⁰

<KLN = 180 -(20x +4) (supplementary angles)

In Triangle KLN

<J + <K + <L = 180⁰(sum of angles in triangle)

Substitute

(6x + 4) + (8x + 18) = (20x + 4)(sum of 2 int.<s is equal to exterior<)

Simplifying

6x + 8x - 20x = 4 - 4 - 18

14x -20x = -18

-6x = -18

x = -18/-6

= 3

Substitute into (20x + 4) to find the measure of angle KLM

20x +4 = 20(3) + 4

= 60 + 4

= 64⁰

The measure of angle KLM is 64⁰

learn more about triangle here

https://brainly.com/question/1058720

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The table shows the number of balls, by sport, in the gym.
A. The ratio of soccer balls to all balls is 4:25
B. For every 10 balls in the gym, 3 are basketballs
C. None of the above

Answers

A. The ratio of soccer balls to all balls are 4:25

All the balls combined are 50 balls

8 of the balls are soccer balls so that makes the ration 8:50

In the simplest form it is 4:25 since you can't divide 4 or 8 by 50, you can use 2
and you get 4:25 as your answer
So it is A.

The ratio of soccer balls to all balls is 4:25.

Given that;

The table shows the number of balls, by sport, in the gym.

Now, We have;

Number of soccer balls = 8

And, Total number of balls = 50

Hence, The ratio of soccer balls to all balls is,

⇒ 8 : 50

⇒ 4 : 25

Thus, We get;

The ratio of soccer balls to all balls is 4:25.

Learn more about the ratio visit:

https://brainly.com/question/12024093

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What's the function rule, I don't understand how to write a function rule using the ordered pairs in this table

Answers

The rule is plus four because every time you take your x value and add four it equals your y value.

Combining like terms

simplify each expression
4n - n

Answers

The answer to your question is 3n. 4n-n = 3n

easy 4n-n is like 4n-1n.
what is 4-1?
4n-1n=3n
Can I plz have brainliest?

Show one way to count from 82 to 512

Answers

Since they both end in 2 you could add 2 and then eventually get 512. Or you could do 512-82 and get 430 so then you could do 430 plus 82 is 512.

Only way is by 2 I think

Is 1.47 irrational or rational

Answers

1.47 is indeed a rational number and not an irrational number

For sure a rational number

Your bank account has in it. You deposit $5 per day.

(a) How much money is in your account after 5 days? Show your work.

(b)After you have made all of your deposits, you withdraw $2 a day until your account balance is $0. How many days will you withdraw $2? Show your work

Answers

If you deposit 5 dollars every day, for 5 days you will have 25$ in total then.
This is because 5 times 5 equals 25.

multiply (-2/3)(1/6) as a simplified fraction

Answers

[tex]\left(-\dfrac{2}{3}\right)\left(\dfrac{1}{6}\right)=-\dfrac{1}{3}\cdot\dfrac{1}{3}=-\dfrac{1}{9}[/tex]

A+B=44
A:B is equivalent to 4:7
what are A and B?

Answers

A would have to be 12 because if you find their factors
And B would be 16

A is 16 and B is 28.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given

A:B = 4:7

A + B = 44

Let the common factor between A and B is x

then

4x + 7x = 44

11x = 44

x = 4

Therefore,

A = 16

B = 28

Hence, 16 and 28 are A and B respectively.

Learn more about ratio here:

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2 and 2/3 plus 4 and 2/5 = ?

Answers

Hey there!

When you add or subtract fractions, you find the common denominator
Which is 15

Leave the whole numbers out
Multiply 2/3 by 5 = 10/15 and multiply 2/5 by 3= 6/15

10/15+6/15= 16/15= 1 1/15

Now add the whole numbers
2+4+1= 7 1/15

So your final answer is 7 1/15

Help. Write the ratio as a unit rate.

Answers

Well find out how many miles are in 1 hour. Then times it by 5 and add half of one hour

Heather is 8 years older than twice her nephew’s age. If Heather is 22 years old, how old is her nephew?

Answers

Her nephew is 7.

Hope this helps!

Expand and simplify [tex] (3x-2)^{2} [/tex]

Answers

You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.

What’s 2(2x+10)=3(x+6)

Answers

2(2x + 10) = 3(x + 6)

Let's use the distributive property.
This means that you have to multiply the term in front of the parenthesis with every term inside the parenthesis.

After using the distributive property, you get

4x + 20 = 3x + 18

Now, subtract both sides by 3x

x + 20 = 18

Subtract both sides by 20

x = -2

That's your answer. Have an awesome day! :)

a gardening company plants 10 trees in 2 hours how long will it take to plant 150 trees

Answers

10 trees / 2 hours = 5 trees per hour

150 trees / 5 per hour = 30 hours

If you use ratios then it would be 10:2 so now the ratio will change to 150:?. Divide 10 from150 and you get 15. So 15 times 2 equals to 30. So the answer is 30 hours.

Which expression is equivalent to 9x^5+3x(4x^4-3x^2)^2

Answers

Answer:

[tex]48x^9-72x^7+36x^5[/tex]

Step-by-step explanation:

The initial expression is:

[tex]9x^5+3x(4x^4-3x^2)^2[/tex]

First expand the squared part (inside the parenthesis):

[tex]9x^5+3x(4x^4-3x^2)(4x^4-3x^2)\\9x^5+3x(16x^8-24x^6+9x^4)\\[/tex]

Then, multiply the terms inside the parenthesis by 3x applying the distributive property:

[tex]9x^5+3x(16x^8-24x^6+9x^4)\\9x^5+48x^9-72x^7+27x^5[/tex]

Finally add terms with the same exponent

[tex]48x^9-72x^7+36x^5[/tex]

Answer:

D. 48x^9-72x^7+36x^5

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Btw Look at you doing your school work looking smart! I see youuu! (even if you are cheating a lil but its ok im doing the same xD)

someone please help me, and it says find the value of x and y.

and can someone help me do it step by step and explain it please

Answers

To find x:
Triangles are in total 180 degrees. The two triangles are basically 1 triangle split in half. If the triangle share the same side, has similar angles (shown by the curves on both sides at the top(Angle BAC and CAB), and has similar sides(shown by the hashes made in the lines AC & AB), you can conclude 'x' as a 90 degree angle.
To find y:
The measurment of the angle DCA is 47 degrees. For x, we concluded the answer to be 90 degrees, making the other side of the line 90 degrees as well.Since a triangle is 180 degrees, we can add 47 and 90 to get 137. Taking that answer, we subtract it from the value of 180 degrees to get 43 degrees. So y equals 43.

Find the equation of the line.
Use exact numbers.

Answers

The slope of the line (m) = 3/1 = 3
and the y intercept is at (0,3) that is y = 3 so b = 3

using the slope intercept form y = mx + b

m = 3 and b = 3

so answer is y = 3x + 3

Answer:

yup

Step-by-step explanation:

Simplify 12(A - B).

Answers

12A-12B
That's what I think.

12a-12b by use of distributive property. Hope that’s what you’re looking for!

does anyone know? im lost!

Answers

i think the answer is c

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